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Finding the Third Proportional to 275,605 and 390,088

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Solution

The third proportional to 275,605 and 390,088 is: 552,125.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,605 : 390,088 = 390,088 : x
  2. Step 2: Convert to fraction form
    275,605/390,088 = 390,088/x
  3. Step 3: Cross multiply
    275,605x = 390,088 × 390,088
  4. Step 4: Simplify right side
    275,605x = 152,168,647,744
  5. Step 5: Solve for x
    x = 152,168,647,744/275,605
  6. Step 6: Final answer
    x = 552,125.86

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.